Kinematic Wave Modeling in Hydrology
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abstract
Lighthill and Whitham (1955) developed the kinematic wave theory but Iwagaki (1955) also independently conceived the kinematic wave concept. Over a decade later, the theory started to receive wide acceptance. By the 1980s, the theory became an accepted tool for modeling not only surface runoff but also for subsurface flow, soil moisture movement, macropore flow, snowmelt runoff, and soil erosion. Many watershed models began incorporating the kinematic wave method for modeling overland flow. The decade of the 1990s also witnessed applications of the theory to a variety of other hydrologic processes. This study provides a historical perspective of the kinematic wave theory-based models in hydrology.
